7-2x=2(x-4)-1

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Solution for 7-2x=2(x-4)-1 equation: 


Simplifying
7 + -2x = 2(x + -4) + -1

Reorder the terms:
7 + -2x = 2(-4 + x) + -1
7 + -2x = (-4 * 2 + x * 2) + -1
7 + -2x = (-8 + 2x) + -1

Reorder the terms:
7 + -2x = -8 + -1 + 2x

Combine like terms: -8 + -1 = -9
7 + -2x = -9 + 2x

Solving
7 + -2x = -9 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
7 + -2x + -2x = -9 + 2x + -2x

Combine like terms: -2x + -2x = -4x
7 + -4x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -4x = -9 + 0
7 + -4x = -9

Add '-7' to each side of the equation.
7 + -7 + -4x = -9 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = -9 + -7
-4x = -9 + -7

Combine like terms: -9 + -7 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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